Circular band formation for incompressible viscous fluid-rigid-particle mixtures in a rotating cylinder

Suchung Hou, Tsorng Whay Pan, Roland Glowinski

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we have investigated a circular band formation of fluid-rigid-particle mixtures in a fully filled cylinder horizontally rotating about its cylinder axis by direct numerical simulation. These phenomena are modeled by the Navier-Stokes equations coupled to the Euler-Newton equations describing the rigid solid motion of the non-neutrally particles. The formation of circular bands studied in this paper is mainly caused by the interaction between particles themselves. Within a circular band, the part of the band formed by the particles moving from the front to the back through the upper portion of the cylinder becomes more compact due to the particle interaction strengthened by the speedup of the particle speeds first by the rotation and later by the rotation and the gravity. The part of a band formed by the particles moving from the back to the front through the lower portion of the cylinder is always loosening up and spreading out due to the slowdown of the particle motion first by the rotation and then by the rotation and the counter effect of the gravity. To have a compact circular band, particles have to interact among themselves continuously through the entire circular band at an angular speed so that the separation of particles can be balanced by their aggregation.

Original languageEnglish
Article number023013
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number2
DOIs
Publication statusPublished - 2014 Feb 25

Fingerprint

rotating cylinders
viscous fluids
Viscous Fluid
Incompressible Fluid
Rotating
gravitation
Gravity
Angular speed
particle motion
particle interactions
direct numerical simulation
Navier-Stokes equation
Motion
newton
counters
Interaction
Euler
Aggregation
Navier-Stokes Equations
Speedup

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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abstract = "In this paper we have investigated a circular band formation of fluid-rigid-particle mixtures in a fully filled cylinder horizontally rotating about its cylinder axis by direct numerical simulation. These phenomena are modeled by the Navier-Stokes equations coupled to the Euler-Newton equations describing the rigid solid motion of the non-neutrally particles. The formation of circular bands studied in this paper is mainly caused by the interaction between particles themselves. Within a circular band, the part of the band formed by the particles moving from the front to the back through the upper portion of the cylinder becomes more compact due to the particle interaction strengthened by the speedup of the particle speeds first by the rotation and later by the rotation and the gravity. The part of a band formed by the particles moving from the back to the front through the lower portion of the cylinder is always loosening up and spreading out due to the slowdown of the particle motion first by the rotation and then by the rotation and the counter effect of the gravity. To have a compact circular band, particles have to interact among themselves continuously through the entire circular band at an angular speed so that the separation of particles can be balanced by their aggregation.",
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Circular band formation for incompressible viscous fluid-rigid-particle mixtures in a rotating cylinder. / Hou, Suchung; Pan, Tsorng Whay; Glowinski, Roland.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 89, No. 2, 023013, 25.02.2014.

Research output: Contribution to journalArticle

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